257523052400 has 120 divisors (see below), whose sum is σ = 623693735808. Its totient is φ = 102180960000.

The previous prime is 257523052309. The next prime is 257523052411. The reversal of 257523052400 is 4250325752.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26243495 + ... + 26253305.

Almost surely, 2^257523052400 is an apocalyptic number.

257523052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257523052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311846867904).

257523052400 is an abundant number, since it is smaller than the sum of its proper divisors (366170683408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257523052400 is a wasteful number, since it uses less digits than its factorization.

257523052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 35.

The spelling of 257523052400 in words is "two hundred fifty-seven billion, five hundred twenty-three million, fifty-two thousand, four hundred".